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Given the parent functions f(x) = 5x –1 and g(x) = 3x –9, what is g(x) –f(x)?

2 Answers

3 votes
g(x) –f(x) = 3x –9 - (5x –1)
g(x) –f(x) = 3x –9 - 5x + 1
g(x) –f(x) = -2x - 8

hope it helps

User Shaniece
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2 votes

Answer:
g(x)-f(x)=-2x-8

Explanation:

Given parent functions :
f(x)=5x-1\text{ and }g(x)=3x-9

Then ,


g(x)-f(x)=3x-9-(5x-1)\\\\\Rightarrow g(x)-f(x)=3x-9-5x+1\ \ \text{[Open brackets]}\\\\\Rightarrow g(x)-f(x)=3x-5x-9+1\ \ \text{[Combine like terms]}\\\\\Rightarrow g(x)-f(x)=-2x-8

Hence, for the given parent function f(x) and g(x),
g(x)-f(x)=-2x-8

User Nmarti
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7.7k points